Shaw Prize Winners Content
For his work in symplectic geometry.
For his work on arithmetic theory of thin groups and the affine sieve.
For his work on mathematical physics, arithmetic geometry, and more.
For his work on the Langlands conjectures for GL(2) over global
fields of positive characteristic.
For his work in model geometric model theory, among other things.
For contributions to discrete mathematics and model theory.
For contributions to modern geometry.
For contributions to modern geometry.
For contributions to representation theory.
For contributions to representation theory, algebraic geometry,
and mathematical physics (Copilot).
For his groundbreaking work on probability theory, concentration
inequalities, and spin glasses (Copilot).
For his groundbreaking work on partial differential equations (Copilot).
For her groundbreaking contributions to algebraic geometry, particularly
in Hodge theory and mirror symmetry (Copilot).
For contributions to algebraic geometry.
For profound contributions to geometry, representation theory,
and theoretical physics (Copilot).
For a body of work that reshaped analytic number theory, especially
the study of prime numbers and automorphic forms (Copilot).
For groundbreaking contributions to number theory and arithmetic
geometry. He is best known for proving the Mordell Conjecture (Copilot).
For fundamental contributions to algebra, algebraic geometry, and
representation theory (Copilot).
For contributions to modern mathematical statistics, especially
in sparse data recovery and noise reduction (Copilot).
For his pioneering work in algebra, geometry, and mathematical
physics, particularly deformation quantization, motivic integration,
and mirror symmetry (Copilot).
For his pioneering work in contributions to geometric
analysis, Ricci flow (Copilot).
For groundbreaking work on nonlinear partial differential
equations in geometry and general relativity (Copilot).
For profound work in mathematical analysis (Copilot).
For contributions to geometry (Copilot).
For his brilliant contributions to geometry in 3 and 4 dimensions
(Copilot). [Donaldson Invariants, QFT, TQFT]
For his his influential contributions to mathematical physics. (Copilot).
For his influential contributions to mathematical physics (Copilot).
[The Kolmogorov-Arnold-Moser (KAM) theorem.]
For his deep contributions to number theory and symmetry (Copilot).
For founding the Langlands Program, a grand unifying mathematical
framework (Copilot).
For creating a new interdisciplinary field---mathematics mechanization
---that merged topology, algebra, and computer science (Copilot).
For his groundbreaking work in algebraic geometry and later in
vision and pattern theory (Copilot).
For his celebrated proof of Fermat's Last Theorem, a problem that
had remained unsolved for over 350 years (Copilot).
Chern is regarded as the father of modern differential geometry, a
discipline that connects geometry with topology, algebra, and analysis
(Copilot). Chern classes. Chern–Simons invariants. Generalized
Gauss-Bonnet theorem. David Hestenes and Geometric Calculus. Much
work left to do.
Shaw Life Sciences and Medicine Prizes: (I'm only showing one, just for the record.)
Awarded the 2025 Shaw Prize in Life Sciences and Medicine, for his celebrated pioneering cryo-electron tomography (cryo-ET), a breakthrough that allows scientists to visualize the molecular architecture of cells in their natural environment. (Copilot).